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Finding the Third Proportional to 264,514 and 402,308

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Solution

The third proportional to 264,514 and 402,308 is: 611,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,514 : 402,308 = 402,308 : x
  2. Step 2: Convert to fraction form
    264,514/402,308 = 402,308/x
  3. Step 3: Cross multiply
    264,514x = 402,308 × 402,308
  4. Step 4: Simplify right side
    264,514x = 161,851,726,864
  5. Step 5: Solve for x
    x = 161,851,726,864/264,514
  6. Step 6: Final answer
    x = 611,883.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.